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Finding the Third Proportional to 238,212 and 368,514

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Solution

The third proportional to 238,212 and 368,514 is: 570,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,212 : 368,514 = 368,514 : x
  2. Step 2: Convert to fraction form
    238,212/368,514 = 368,514/x
  3. Step 3: Cross multiply
    238,212x = 368,514 × 368,514
  4. Step 4: Simplify right side
    238,212x = 135,802,568,196
  5. Step 5: Solve for x
    x = 135,802,568,196/238,212
  6. Step 6: Final answer
    x = 570,091.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.